Article citationsMore>>

Yang, X.-L. and Huang, X.-M. (2002) The Series Expansion of Koch Curve. Acta Mathematicae Applicatae Sinica, 25, 527-537.

has been cited by the following article:

• TITLE: Hölder Derivative of the Koch Curve

  AUTHORS: Guangjun Yang, Xiaoling Yang, Ping Wang

  KEYWORDS: Fractal, Koch Curve, Hölder Inequality, Hölder Derivative

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.11 No.1, January 18, 2023

  ABSTRACT: In this paper, we introduce a K Hölder p-adic derivative that can be applied to fractal curves with different Hölder exponent K. We will show that the Koch curve satisfies the Hölder condition with exponent and has a 4-adic arithmetic-analytic representation. We will prove that the Koch curve has exact -Hölder 4-adic derivative.